Approximation Theorems for Discrete-Time Systems

IEEE Transactions on Circuits and Systems

Volumn 38, Issue 5, 1991, Pages 564-566

  Sandberg, Irwin W ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, ADAPTIVE - IDENTIFICATION; CONTROL SYSTEMS, DISCRETE TIME; CONTROL SYSTEMS, NONLINEAR; SIGNAL FILTERING AND PREDICTION;

ADAPTIVE FILTERING; ADAPTIVE IDENTIFICATION; APPROXIMATELY FINITE MEMORY; DISCRETE TIME SYSTEMS; NONLINEAR INPUT-OUTPUT MAPS; R-VALUED MAPS;

MATHEMATICAL TECHNIQUES;

EID: 0026156360     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.76498     Document Type: Article

References (5)

1. I. W. Sandberg, “Representation theory and nonlinear systems,” in Proc. Int. Conf. Integral Methods in Science and Engineering, Arlington, TX, May 1990.
2. G. Cybenko, “Approximation by superpositions of a sigmoidal function,” Mathematics of Control, Signals, and Systems, vol. 2, pp. 304-314, 1989.
3. J. Park and I. W. Sandberg, “Universal approximation using radial-basis-function networks,” in Proc. 28th Annual Allerton Conf. Communication, Control, and Computing, Monticello, IL, October 1990 (also to appear in Neural Computation, 1991).
4. M. Powell, “Radial basis functions for multi-variable interpolation: A review,” in Proc. IMA Conf. Algorithms for the Approximation of Functions and Data, RMCS Shrivenham, UK, 1985.
5. I. W. Sandberg, “Nonlinear input-output maps and approximate representations,” AT&T Tech. J., vol. 64, pp. 1967-1983, Oct. 1985.